the OP wants a TT, not a popup or A-frame trailer.
i don't know of ANY v-6 SUV with a factory brake controller. it will need an aftermarket BC installed, which requires a factory tow package with the proper wiring.
i owned an older Exploder 4.0 v-6, which i towed my popups with. it didn't have the factory tow package but i NEVER would tow even a small TT with it, even if it had the tow package.
i know the newer ones will be better but Ford has surface area limits on towing with their vehicles. the Explorer also has such a limit.
check the Ford Towing Guide for those amounts and other towing specs.
i wouldn't go over 4000lbs. GVWR for a TT.
i don't know of any modern TT that DOESN'T come with electric brakes.